To solve $\frac{1}{2} + \frac{2}{5}$, we need to find a common denominator.

1. The least common denominator (LCD) between 2 and 5 is 10.

2. Convert each fraction to have a denominator of 10: $\frac{1}{2} = \frac{5}{10} \quad \text{and} \quad \frac{2}{5} = \frac{4}{10}$

3. Now, add the fractions: $\frac{5}{10} + \frac{4}{10} = \frac{9}{10}$

So, $\frac{1}{2} + \frac{2}{5} = \frac{9}{10}$.

Would you like more details or have any questions?

Here are some related questions to practice:

1. What is $\frac{3}{4} + \frac{2}{5}$?
2. How do you subtract $\frac{5}{6} - \frac{1}{4}$?
3. What is $\frac{7}{8} + \frac{3}{16}$?
4. How do you multiply $\frac{2}{3} \times \frac{4}{5}$?
5. What is the result of dividing $\frac{3}{7} \div \frac{2}{5}$?

Tip: When adding or subtracting fractions, always find the least common denominator for easier calculation.